Compare 2/6 and 49/40
1st number: 2/6, 2nd number: 1 9/40
2/6 is smaller than 49/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 6 and 40 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 6 × 20 = 120,
2/6 = 2 × 20/6 × 20 = 40/120 - Likewise, for the 2nd fraction, since 40 × 3 = 120,
49/40 = 49 × 3/40 × 3 = 147/120 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 40/120 < 147/120 or 2/6 < 49/40
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